An inequality for Legendre polynomials

DOI10.1063/1.530873zbMath0802.33007OpenAlexW1991706404MaRDI QIDQ4300215

Andrea Laforgia, Árpád Elbert

Publication date: 31 July 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530873

zbMATH Keywords

Bessel functionLegendre polynomialsBernstein's theoremNicholson's formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Some recent results on the zeros of Bessel functions and orthogonal polynomials, Inequalities for the associated Legendre functions, Unified treatment of Gautchi-Kershaw type inequalities for the gamma function

Cites Work

• Inequalities for ultraspherical polynomials and the gamma function
• Some Consequences of the Sturm Comparison Theorem
• On the Spacing of the Zeros of Some Classical Orthogonal Polynomials
• Alternative Proof of a Sharpened Form of Bernstein's Inequality for Legendre Polynomials
• Unitarity and High-Energy Behavior of Scattering Amplitudes
• Inequalities for the Zeros of Legendre Polynomials and Related Functions
• On a monotonic property of certain Sturm-Liouville functions